# How do you solve for r in #- \frac{59}{60} = \frac{1}{6} \(- \frac{4}{3} r-5 )#?

##### 1 Answer

Dec 12, 2014

**Answer:**

**Explanation:**

We start with our equation:

#-59/60 = 1/6(-4/3r - 5)#

We can now multiply both sides of the equation by

#(-59* 6)/60 = -4/3r - 5#

We notice that

#(-59*6)/(10*6) = -4/3r - 5#

#-59/10 = -4/3r - 5#

Now we can add

#-59/10 + 5 = -4/3r - 5 + 5#

#-59/10 + 50/10 = -4/3r#

#-9/10 = -4/3r#

And then multiply both sides by

#-9/10*-3/4 = -4/3r*-3/4#

#-9/10*-3/4 = r#

#27/40 = r#

#r = 27/40#

**Checking work:**